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Sales $800,000; Variable costs $480,000; Fixed costs $280,000. What sales revenue is required for a profit of $200,000?
Option C ($1,000,000) is correct.
CS ratio = ($800,000 − $480,000) ÷ $800,000 = 40%
Required sales = (Fixed costs + Target profit) ÷ CS ratio = ($280,000 + $200,000) ÷ 0.40 = $1,000,000
A particle has initial velocity $(3\hat{i}+4\hat{j})$ and acceleration $(0.4\hat{i}+0.3\hat{j})$. Its speed after 10 s is:
Velocity at $t = 10\text{ s}$:
$\vec{v} = (3+0.4\times10)\hat{i} + (4+0.3\times10)\hat{j} = 7\hat{i}+7\hat{j}$
Speed $= \sqrt{7^2+7^2} = \sqrt{98} = \mathbf{7\sqrt{2}}$ units
Option B is correct.
A key advantage of a sole trader is that it is easy to set up. A key disadvantage is no one to share the workload.
- A: Sole traders are NOT required to publish financial statements. Complete control is an advantage, not a disadvantage.
- C: Separate legal identity belongs to limited companies.
- D: Unlimited liability is a disadvantage, not an advantage.
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